Nonlinear Physics of Ecosystems introduces the concepts and tools
of pattern formation theory and demonstrates their utility in
ecological research using problems from spatial ecology. Written in
language understandable to both physicists and ecologists in most
parts, the book reveals the mechanisms of pattern formation and
pattern dynamics. It also explores the implications of these
mechanisms in important ecological problems. The first part of the
book gives an overview of pattern formation and spatial ecology,
showing how these disparate research fields are strongly related to
one another. The next part presents an advanced account of pattern
formation theory. The final part describes applications of pattern
formation theory to ecological problems, including self-organized
vegetation patchiness, desertification, and biodiversity in
changing environments. Focusing on the emerging interface between
spatial ecology and pattern formation, this book shows how pattern
formation methods address a variety of ecological problems using
water-limited ecosystems as a case study. Readers with basic
knowledge of linear algebra and ordinary differential equations
will develop a general understanding of pattern formation theory
while more advanced readers who are familiar with partial
differential equations will appreciate the descriptions of
analytical tools used to study pattern formation and dynamics.
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